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Chapter 4 Mobile Radio Propagation (Large-scale Path Loss) -50 +90 -60 +80 Multi-path Propagation -70 +70 Field -80 +60 Strength, RSSI, dBuV/m dBm -90 +50 -100 +40 -110 +30 -120 +20 0 3 6 9 12 15 18 21 24 27 30 33 Distance from Cell Site, km measured signal strength signal strength predicted by Okumura- Hata propagation model Wireless Communication Objectives To refresh understanding of basic concepts and tools To discuss the basic philosophy of propagation prediction applicable to cellular systems To identify and explore key propagation modes and their signal decay characteristics To discuss the multi-path propagation environment, its effects, and a method of avoiding deep fades To survey key available statistical propagation models and become familiar with their basic inputs, processes, and outputs To understand application of statistical confidence levels to system propagation prediction To review and gain familiarity with general measurement and propagation prediction tools available commercially Chapter 4 –Mobile radio propagation( Large-scale path loss) 1 Dr. Sheng-Chou Lin Page 1 Wireless Communication Wave Propagation Basics: Frequency and Wavelength Wavelength is an important variable in RF propagation. /2 Wavelength determines the approximate required size of antenna elements. Objects bigger than roughly a wavelength can reflect or block RF energy. RF can penetrate into an enclosure if it has holes roughly a wavelength in size, or larger. Chapter 4 –Mobile radio propagation( Large-scale path loss) 2 Dr. Sheng-Chou Lin Wireless Communication Wave Propagation: Frequency and Wavelength Radio signals travel through empty space at the speed of light ( Cell C) •C = 186,000 miles/second (300,000,000 meters/second) Frequency (F) is the number of waves per second (unit: Hertz) speed = C Wavelength (length of one wave) is Examples: calculated: •(distance traveled in one second) /(waves AMPS cell site f = 870 MHz. in one second) 0.345 m = 13.6 inches PCS-1900 site f = 1960 MHz. C/F 0.153 m = 6.0 inches Chapter 4 –Mobile radio propagation( Large-scale path loss) 3 Dr. Sheng-Chou Lin Page 2 Wireless Communication Statistical Propagation Models Prediction of Signal Strength as a function of distance without regard to obstructions or features of a specific propagation path -50 +90 -60 +80 -70 +70 Field -80 +60 Strength, RSSI, dBm dBuV/m -90 +50 -100 +40 -110 +30 -120 +20 0 3 6 9 12 15 18 21 24 27 30 33 Distance from Cell Site, km measured signal signal strength predicted by Okumura- strength Hata propagation model Chapter 4 –Mobile radio propagation( Large-scale path loss) 4 Dr. Sheng-Chou Lin Wireless Communication Radio Propagation Mobile radio channel •fundamental limitation on the performance of wireless communications.s •severely obstructed by building, mountain and foliage. •speed of motion •a statistical fashion Radio wave propagation characteristics •reflection, diffraction and scattering •no direct line -of-sight path in urban areas •multipath fading Basic propagation types •Propagation model: predict the average received signal strength •Large-scale fading: Shadowing fading •Small-scale fading: Multipath fading Chapter 4 –Mobile radio propagation( Large-scale path loss) 5 Dr. Sheng-Chou Lin Page 3 Wireless Communication Propagation Model To focus on predicting the average received signal strength at a given distance from the transmitter •variability of the signal strength •is useful in estimating the radio coverage. Large-scale propagation •computed by averaging over 540, 1m 10m, for1GHz 2GHz. Small-scale fading •received signal strength fluctuate rapidly, as a mobile moves over very small distance. •Received signal is a sum of multi-path signals. •Rayleigh fading distribution •may vary by 30 40 dB •due to movement of propagation related elements in the vicinity of the receiver. Chapter 4 –Mobile radio propagation( Large-scale path loss) 6 Dr. Sheng-Chou Lin Wireless Communication Deterministic Techniques Basic Propagation Modes There are several very commonly- occurring modes of propagation, Free Space depending on the environment through which the RF propagates. Three are shown at right: •these are simplified, practically- calculable cases Reflection •real-world paths are often dominated by with partial cancellation one or a few such modes –these may be a good starting point for analyzing a real path –you can add appropriate corrections Knife-edge for specific additional factors you Diffraction identify •we’re going to look at the math of each one of these Chapter 4 –Mobile radio propagation( Large-scale path loss) 7 Dr. Sheng-Chou Lin Page 4 Wireless Communication Free-Space Propagation Effective area (Aperture) Aeff = A d Aeff ratio of power delivered to the Pt antenna terminals to 1 the incident power Gt 2 Gr density •: Antenna efficiency P t S = Gt : power density 4 d2 •A : Physical area Transmitter antenna P r = S A eff : Received power gain = Gt 2 4A eff Receiver antenna gain A eff = Gr G = = G 4 2 r 2 Propagation distance = P t P r = Gt G r d 4 d2 4 Wave length = EIRP = PtGt (Effective isotropic radiated power) Chapter 4 –Mobile radio propagation( Large-scale path loss) 8 Dr. Sheng-Chou Lin Wireless Communication Free-Space Propagation A clear, unobstructed Line-of-sight path between them •Satellite communication, Microwave Line-of-sight (Point-to-point) antenna 1 G1 frequency f or wavelength antenna 2 G2 P Pt r distance d EIRP= PtGt = effective isotropic radiated power (compared to an isotropic radiator) : dBi ERP = EIRP-2.15dB = effective radiated power (compared to an half-wave dipole antenna) : dBd Path Gain P 2 8 2 r 2 c 3 10 gain = ------ = G G ------------ = G G --------------- = G G ------------------------------------------------------------- P 1 24d 1 24df 1 2 3 6 t 4d 1 10 f 1 10 for d in km, f in MHz Path Loss = 1 / (Pr/Pt) when antenna gains are included loss(dB) = 32.44 + 20 log d + 20 log f –G 1 dB –G2 dB Chapter 4 –Mobile radio propagation( Large-scale path loss) 9 Dr. Sheng-Chou Lin Page 5 Wireless Communication Free-Space Propagation The simplest propagation mode r •Imagine a transmitting antenna at the center of an empty sphere. Each little square of surface intercepts its share of the radiated energy •Path Loss, db (between two isotropic antennas) = 36.58 +20*Log10(FMHZ)+20Log10(DistMILES ) Free Space •Path Loss, db (between two dipole antennas) “Spreading”Loss = 32.26 +20*Log10(FMHZ)+20Log10(DistMILES ) energy intercepted •Notice the rate of signal decay: by the red square is • 6 db per octave of distance change, which is 20 db per decade of distance change proportional to 1/r2 When does free-space propagation apply? 1st Fresnel Zone •there is only one signal path (no reflections) d •the path is unobstructed (first Fresnel zone is not P penetrated by obstacles) A D First Fresnel Zone = B {Points P where AP + PB - AB < } Fresnel Zone radius d = 1/2 (D)^(1/2) Chapter 4 –Mobile radio propagation( Large-scale path loss) 10 Dr. Sheng-Chou Lin Wireless Communication Near and Far fields D /2 radiated 2 0 reactive 2D / radiated far field near field These distances are rough approximations! Reactive near field has substantial reactive components which die out Radiated near field angular dependence is a function of distance from the antenna (i.e., things are still changing rapidly) Radiated far field angular dependence is independent of distance Moral: Stay in the far field! Chapter 4 –Mobile radio propagation( Large-scale path loss) 11 Dr. Sheng-Chou Lin Page 6 Wireless Communication An Example An antenna with maximum dimension (D) of 1m, operating frequency (f) = 900 MHz. •= c/f = 3108/900 106 = 0.33 2 2 •Far-field distance = df = 2D / = 2 (1) /0.33 = 6m TX power, Pt = 50W, fc = 900MHz, Gt = 1 = Gr 3 •Pt (dBm) = 10log(50 10 mW) = 47 dBm = 10lon(50) = 17 dBW •Gt = 1 = Gr = 0dB •Loss (100m)= 32.44 +20log(dkm)+20log(fMHz) = 32.44 + 20log (0.1)+20log(900) =71.525 dB –Pr (100m)= 47 +0 –71.525 +0 = -24.5 dBm •Loss (10km)= 32.44 +20log(dkm)+20log(fMHz) = 32.44 + 20log (10)+20log(900) =71.525 dB + 40 = 111.525 dB –Pr (100m)= 47 +0 –111.525 +0 = -64.5 dBm Chapter 4 –Mobile radio propagation( Large-scale path loss) 12 Dr. Sheng-Chou Lin Wireless Communication A Tedious Tale of One Radio Link Transmitter Let’s track the power flow from 20 Watts TX output transmitter to receiver in the x 0.50 line efficiency radio link we saw back in lesson Trans. = 10 watts to antenna x 20 antenna gain 2. We’re going to use real values Line = 200 watts ERP that commonly occur in typical x 0.000,000,000,000,000,1585links.path attenuation Antenna = 0.000,000,000,000,031,7 watts if intercepted by dipole antenna x 20 antenna gain = 0.000,000,000,000,634 watts into line Antenna x 0.50 line efficiency = 0.000,000,000,000,317 watts to receiver Trans. Line Did you enjoy that arithmetic? Let’s go back and do it again, a better and less painful way. Receiver Chapter 4 –Mobile radio propagation( Large-scale path loss) 13 Dr. Sheng-Chou Lin Page 7 Wireless Communication Decibels - A Helpful Convention x 1000 Decibels normally refer to power ratios -- in other words, the numbers we represent in dB usually .001 w 1 watt are a ratio of two powers. Examples: 0 dBm 30 dBm •A certain amplifier amplifies its input by a factor of +30 dB 1,000. (Pout/Pin = 1,000,000). That amplifier has 30 dB gain. x 0.10 10 w •A certain transmission line has an efficiency of only 10 100 w percent.
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